{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Starlight Scope Objective"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic, physical_apertures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class StarlightScope(optic.Optic):\n",
    "    \"\"\"Starlight Scope Objective\n",
    "\n",
    "    Milton Laikin, Lens Design, 4th ed., CRC Press, 2007, p. 188\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        # add physical aperture on surface 3\n",
    "        aperture3 = physical_apertures.RadialAperture(r_max=np.inf, r_min=0.75)\n",
    "\n",
    "        self.add_surface(index=0, thickness=np.inf)\n",
    "        self.add_surface(index=1, thickness=0.275, radius=-7.7618, material=\"BK7\")\n",
    "        self.add_surface(index=2, thickness=1.3662, radius=-16.8186)\n",
    "        self.add_surface(\n",
    "            index=3,\n",
    "            thickness=-1.3662,\n",
    "            radius=-5.6768,\n",
    "            material=\"mirror\",\n",
    "            aperture=aperture3,\n",
    "        )\n",
    "        self.add_surface(index=4, thickness=-0.275, radius=-16.8186, material=\"BK7\")\n",
    "        self.add_surface(\n",
    "            index=5,\n",
    "            thickness=0.275,\n",
    "            radius=-7.7618,\n",
    "            material=\"mirror\",\n",
    "            is_stop=True,\n",
    "        )\n",
    "        self.add_surface(index=6, thickness=1.3662, radius=-16.8186)\n",
    "        self.add_surface(index=7, thickness=0.15, radius=-15.1741, material=\"SF2\")\n",
    "        self.add_surface(index=8, thickness=0.1846, radius=np.inf, material=\"N-LAK7\")\n",
    "        self.add_surface(index=9, thickness=0.3873, radius=-2.7866)\n",
    "        self.add_surface(index=10, thickness=0.2469, radius=1.1320, material=\"N-SK16\")\n",
    "        self.add_surface(index=11, thickness=0.5, radius=1.4144)\n",
    "        self.add_surface(index=12)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=1.57)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=3.75)\n",
    "        self.add_field(y=7.5)\n",
    "\n",
    "        self.add_wavelength(value=0.48613270)\n",
    "        self.add_wavelength(value=0.58756180, is_primary=True)\n",
    "        self.add_wavelength(value=0.65627250)\n",
    "\n",
    "        self.update_paraxial()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "telescope = StarlightScope()\n",
    "telescope.draw(num_rays=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
